This thesis focuses on Goal Recognition, an innovative and still developing field of research in Artificial Intelligence, which involves determining an agent's goal by observing its behaviour. Several real-world applications can be modelled in this context, for example, surveillance problems, operations where it is necessary to preserve user privacy, chat-boxes, and human-robot interaction. In this dissertation, we consider an environment in which an intelligent agent, the target, performs actions that can be observed by another intelligent agent, the observer (or by the environment itself). We analyze an evasive or fleeing target that moves in the environment to reach its destination, while the observer tries to find it.